Algebraic bounds on standardized sample moments (Q1112495)
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scientific article; zbMATH DE number 4078499
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Algebraic bounds on standardized sample moments |
scientific article; zbMATH DE number 4078499 |
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Algebraic bounds on standardized sample moments (English)
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1987
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Best possible bounds are given for standardized sample (or finite population) moments and absolute moments of arbitrary order, generalizing those given by \textit{H. Cramér} [Mathematical methods of statistics. Princeton (1946)] and \textit{W. Kirby} [Algebraic boundedness of sample statistics. Water Resources Res. 10, 220-222 (1974)] on sample skewness and kurtosis.
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standardized sample moments
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Best possible bounds
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finite population
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absolute moments
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skewness
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kurtosis
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